In Minkowski space, it is known [1]} that the higher-spin Cotton tensors are proportional to certain linear combinations of the positive and negative helicity spin-projection operators. The latter are the three-dimensional analogues of the Behrends-Fronsdal traceless and transverse (TT) projectors. Additionally, recent studies [2]} in AdS\(_4\)  have revealed that the poles of the corresponding TT projectors are intimately related to partially massless fields. This relation renders the factorisation properties of conformal higher-spin wave operators in AdS\(_4\)  transparent. It would be an interesting problem to construct the TT projectors in AdS\(_3\)  and investigate whether similar relations hold.
